Expected value exercises

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Question 1

What’s the expectation of random variable that accepts values from -3 to 3 with probabilities set by PMF:

X	-3	-2	-1	0	1	2	3
P	1/14	1/7	1/7	2/7	2/7	0	1/14

Enter the irreducible fraction below (e.g., 13/28):

1 / 1 point

-1/7

Correct

12.25

Correct

Question 4

A player is offered to play against croupier who rolls 6 dice simultaneously. If there's a "street" (all 6 digits are yield on different dice), the croupier wins. Otherwise, the player wins. The player is offered to bet 60$ against croupier's 1$ (that is, the player loses $60 if the “street” combination occur and wins $1 otherwise). Will this game be profitable to the player in the long run?

1 / 1 point

yes

Correct

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